package dp;

/**
 * 整数拆分
 */
public class IntegerBreak {

    public static void main(String[] args) {
        int n = 10;
        System.out.println(breakInteger(n));
    }

    public static int breakInteger(int n) {
        int[] dp = new int[n+1];
        dp[1]=0;
        dp[2]=1;
        for (int i = 3; i <= n; i++) {
            for (int j = 1; j < i; j++) {
                dp[i] = Math.max(dp[i],Math.max(j*(i-j),j*dp[i-j]));
            }
        }
        Common.print1dArr(dp);
        return dp[n];
    }
}
